MHD free convective flow past an impulsively started vertical plate through a porous medium with radiative heat transfer and chemical reaction in a rotating system

Uday Singh Rajput, Mohammad Shareef


The effect of Hall current, radiation and chemical reaction on MHD free convective flow past an impulsively started vertical plate through a porous medium in a rotating system is considered. The analytical solutions of dimensionless governing equations are obtained by Laplace transform technique. The effects of various parameters on the fluid velocity, concentration and temperature distribution near the plate are analyzed and shown graphically. The numerical values of shear stress at the plate are shown in a table. It is observed that the fluid velocity near the plate is affected significantly by Hall current, radiation, chemical reaction and porous medium. The conclusion of study have applications in the field related to the solar physics dealing with the solar cycle, the sunspot development, the structure of rotating magnetic stars etc.


Magnetohydrodynamics (MHD), chemical reaction, rotation, hall current

Full Text:



Stewartson, K. 1951. On the impulsive motion of a flat plate in a viscous fluid. Part 1. The Quarterly Journal of Mechanics &Applied Mathematics, 4(2), 182-198.

Stewartson, K. 1973. On the impulsive motion of a flat plate in a viscous fluid. Part 2. The Quarterly Journal of Mechanics &Applied Mathematics, 22(2), 143-152.

Chamka, A. J. 2003. MHD flow of a uniformly stretched vertical permeable surface in the presence of heat generation/absorption and chemical reaction. International Communication in Heat Mass Transfer, 30(3), 413-422.

Prasad, V.R., Bhaskar Reddy, N. and Muthucumaraswamy, R. 2007. Radiation and mass transfer effects on two-dimensional flow past an impulsively started infinite vertical plate. International Journal of Thermal Sciences 46(2007) 1251–1258.

Ibrahim, S.Y.and Makinde, O.D. 2011. Radiation effect on chemically reacting (MHD) boundary layer flow of heat and mass transfer through a porous vertical flat plate. International Journal of the Physical Sciences, 6(6), 1508-1516.

Makinde, O.D. and Mhone, P.Y. 2005. Heat transfer to MHD oscillatory flow in a channel filled with porous medium. Romania Journal of Physics 50(9–10). 931–938.

Reddy M. G. 2014. Heat and mass transfer effects on unsteady MHD radiative flow f a chemically reacting fluid past an impulsively started vertical plate. Matematika, 30(1), 1-15.

Mzumdar, B.S., Gupta, A.S. and Dattaa, N. 1976. Flow and heat transfer in hydrodynamic ekman layer on a porous plate with Hall effects. Inernational Journal of Heat and Mass Transfer, 19(5), 523.

Agarwal, H.L., Ram, P.C. and Singh, V. 1983. Combined influence of dissipation and Hall effect on free convective in a rotating fluid. Indian Journal of Pure and Applied Mathematics, 14(3), 314-32.

Kishore, P.M., Rajesh, V. and Vijayakumar Verma, S. 2012. The effects of thermal radiation and viscous dissipation on MHD heat and mass diffusion flow past an oscillating vertical plate embedded in a porous medium with variable surface conditions. Theoretical and Applied Mechanics, 39(2), 99–125.

Brewster, M.Q. 1992. Thermal Radiative Transfer and Properties. New York, John Wiley & Sons.



  • There are currently no refbacks.

Copyright (c) 2019 mohammad shareef

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Copyright © 2005-2019 Penerbit UTM Press, Universiti Teknologi Malaysia. Disclaimer: This website has been updated to the best of our knowledge to be accurate. However, Universiti Teknologi Malaysia shall not be liable for any loss or damage caused by the usage of any information obtained from this website.